This paper comments on some of the different numerical techniques commonly employed in evaluating Cauchy singular integrals of the first kind; e.g. as pertaining to 2D through cracks in a brittle material undergoing Mode I loading. In addition, a different more direct method is proposed here. Also, two different ways to calculate the stress intensity factor (KI) are contrasted. The accuracy attained by the different methods in calculating KI, and the factors affecting the calculation, are compared. Finally, comments on calculating the stress field of a 2D crack and important considerations are presented.
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